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Finding the Fourth Proportional to 9,592.71, 14,303.00 and 9,417.75

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Solution

The fourth proportional to 9,592.71, 14,303.00 and 9,417.75 is: 14,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.71 : 14,303.00 = 9,417.75 : x
  2. Step 2: Convert to fraction form
    9,592.71/14,303.00 = 9,417.75/x
  3. Step 3: Cross multiply
    9,592.71x = 14,303.00 × 9,417.75
  4. Step 4: Simplify right side
    9,592.71x = 134,702,031.16
  5. Step 5: Solve for x
    x = 134,702,031.16/9,592.71
  6. Step 6: Final answer
    x = 14,042.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.